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22213114320 = 2435194871297
BaseRepresentation
bin10100101100000000…
…010011100111010000
32010100001220010100210
4110230000103213100
5330443024124240
614112104044120
71414314233145
oct245400234720
963301803323
1022213114320
1194697a6621
12437b163640
13213004b537
14110a1b83cc
158a01c8780
hex52c0139d0

22213114320 has 80 divisors (see below), whose sum is σ = 72484914240. Its totient is φ = 5611732992.

The previous prime is 22213114303. The next prime is 22213114321. The reversal of 22213114320 is 2341131222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22213114321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2431089 + ... + 2440208.

It is an arithmetic number, because the mean of its divisors is an integer number (906061428).

Almost surely, 222213114320 is an apocalyptic number.

22213114320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22213114320 is an abundant number, since it is smaller than the sum of its proper divisors (50271799920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22213114320 is a wasteful number, since it uses less digits than its factorization.

22213114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4871332 (or 4871326 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22213114320 its reverse (2341131222), we get a palindrome (24554245542).

The spelling of 22213114320 in words is "twenty-two billion, two hundred thirteen million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 4871297 9742594 14613891 19485188 24356485 29227782 38970376 48712970 58455564 73069455 77940752 92554643 97425940 116911128 146138910 185109286 194851880 233822256 277663929 292277820 370218572 389703760 462773215 555327858 584555640 740437144 925546430 1110655716 1169111280 1388319645 1480874288 1851092860 2221311432 2776639290 3702185720 4442622864 5553278580 7404371440 11106557160 22213114320